A basketball player dribbles a ball. The ball exerts a force on the floor with each impact. What is the reaction force? Group of answer choices Molecular bonds hold the floor together The ball rebounds upward. The floor pushes up on the ball. The ball attracts the Earth.

The solutions to the equations are

1. x = 4

2. x = -12

3. x = 0 and x = 4

The solutions to the inequalities are

4. -5 < x < 1

5. x ≤ -3 and x ≥ 4

From the question, we have the following equations

1. 4x + 6 = 8x - 10

2. -3/4x - 2 = -1/2x + 1

3. |4 - 2x| + 5 = 9

Next, we split the equations to 2

So, we have

1. y = 4x + 6 and y = 8x - 10

2. y = -3/4x - 2 and y = -1/2x + 1

3. y = |4 - 2x| + 5 and y = 9

Next, we plot the system of equations (see attachment) and write out the solutions

The solutions are

1. x = 4

2. x = -12

3. x = 0 and x = 4

From the question, we have the following inequalities

4. x² + 4x - 5 < 0

5. x² - x - 12 ≥ 0

Next, we plot the system of inequalities (see attachment) and write out the solutions

The solutions are

4. -5 < x < 1

5. x ≤ -3 and x ≥ 4

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To determine which expressions represent vectors, we need to understand the properties and characteristics of vectors. A vector is a mathematical object that has both magnitude and direction.

It can be represented geometrically as an arrow in space, where the length of the arrow represents the magnitude of the vector, and the direction of the arrow represents the direction of the vector.

Based on this definition, we can identify the expressions that represent vectors:

1. → u: This expression represents a vector. The arrow symbol (→) indicates that it has both magnitude and direction.

2. → v: Similarly, this expression represents a vector. The arrow symbol (→) indicates that it has both magnitude and direction.

3. k → u: This expression also represents a vector. Multiplying a vector by a scalar (k) does not change its nature as a vector. It only scales the magnitude of the vector while keeping its direction intact.

4. → u + → v: This expression represents a vector. Adding two vectors together results in another vector with a magnitude and direction determined by the combination of the original vectors.

5. → u - → v: Similarly, this expression represents a vector. Subtracting one vector from another also results in a new vector with a magnitude and direction determined by the operation.

6. k(→ u + → v): This expression represents a vector. Here, we have both scalar multiplication (k) and vector addition (→ u + → v), which combine to produce another vector.

The expressions listed above all represent vectors because they possess both magnitude and direction, which are fundamental properties of vectors.

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Answer: y-100= 0.25(x-160)

Step-by-step explanation:

Given: Charge per mile = $0.25

Total amount driver pays = $100

Number of miles he drove = 160 miles

Total cost = Flat fee +  ( Number of miles he drove) (Charge per mile) ...(i)

i.e. 100= Flat fee +  (160)(0.25)

⇒ Flat fee = 100 - (160)(0.25)

If y= total cost , x= number of miles, then

y= ( 100 - (160)(0.25))+ (x)(0.25)  [Substitute value of flat fee in (i)]

⇒ y= 100 - (160)(0.25)+ (x)(0.25)

⇒ y-100= (x)(0.25)- (160)(0.25)

⇒  y-100= 0.25(x-160)

Hence, the required equation:  y-100= 0.25(x-160)

I think 90° because it looks like a right angle

If this is incorrect forgive forgive me plz

The Cartesian equation of the line that contains the points A and B, where A is the intersection point of the given plane with the x-axis and B is the intersection point with the z-axis, is x = 1 and z = 3.

To find the Cartesian equation of the line, we need to determine the values of x and z while allowing y to vary freely. Since point A lies on the x-axis, its y-coordinate is 0, so we have x = 1 and y = 0 for point A. Similarly, since point B lies on the z-axis, its y-coordinate is also 0, so we have z = 3 and y = 0 for point B.

Thus, the equation x = 1 represents the line that contains point A, and the equation z = 3 represents the line that contains point B. Since y can vary freely, we do not include it in the equations. Therefore, the Cartesian equation of the line that contains points A and B is x = 1 and z = 3.

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Answer:

1. D

2. S

Step-by-step explanation:

Answer:

sample response: Since both points have the same x-coordinate, the line would be vertical. A vertical line has no slope because the run of the graph, which is the denominator, is zero and therefore an undefined fraction.

Step-by-step explanation:

Answer:

g = 48

Step-by-step explanation:

60/3 = g-8/2

20 = g-8/2

40 = g-8

g = 48

Answer:

g = 28

Step-by-step explanation:

60 ÷ 3 = g - 8 , that is

20 = g - 8 ( add 8 to both sides )

28 = g

Answer:

A = 45.53

General Formulas and Concepts:

Math

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Area of a Circle: A = πr

Step-by-step explanation:

Step 1: Define

r = 14.5

Step 2: Find Area

Long division is a method of dividing two numbers that involves writing out the division problem in a step-by-step process, using repeated subtraction and multiplication to find the quotient and remainder.

To perform long division, the dividend (the number being divided) is written on top of the division symbol, with the divisor (the number doing the dividing) written below it. The goal is to divide the dividend by the divisor, and write the quotient (the answer) above the division symbol, with any remainder written to the right of the quotient.

The steps involved in long division include:

Divide: Determine how many times the divisor can be subtracted from the first digit (or digits) of the dividend, and write this above the division symbol as the first digit(s) of the quotient.

Multiply: Multiply the quotient digit(s) by the divisor, and write the result below the corresponding digits of the dividend.

Subtract: Subtract the product from the previous step from the dividend, and write the result below the line.

Bring down: Bring down the next digit of the dividend (if any) and write it next to the result from the previous step.

Repeat: Repeat the process until there are no more digits to bring down, and the remainder (if any) is less than the divisor.

Long division can be used to divide any two numbers, including decimals and fractions. It is an important skill in mathematics, and is often used in algebra and other advanced math courses.

Brainliest?

Answer:

when normaldivision doesnt work do this

Step-by-step explanation:

truse me it works everytime

We can represent 0.614 using only 5 tenths as \(\mathbf{\dfrac{6.14}{10}}\)

A decimal is a number that is divided into two parts: a whole and a fraction. Between integers, decimal numbers are used to express the numerical value of complete and partially whole quantities.

The accepted method for representing both integer and non-integer numbers is the decimal number system.

From the given information, we are to represent 0.614 by using only 5 tenths.

Representing 0.614 in the same form, we have:

\(\mathbf{=\dfrac{0.614\times 1000}{1\times 1000}}\)

\(\mathbf{=\dfrac{614}{1000}}\)

\(\mathbf{=\dfrac{6.14}{10}}\)

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Answer: 6.14/10

Step-by-step explanation:

Let's suppose the angle is x.

Then, the measure of the complement of an angle = 90 - x

Also, the measure of the supplement of an angle = 180 - x

According to the question;

The measure of the supplement of an angle is 46 more than 3 times the complement of the angle = 3(90 - x) + 46

= 270 - 3x + 46

= 316 - 3x

We have to find the angle(x).

Therefore,

316 - 3x = 180 - x

316 - 180 = 3x - x

136 = 2x

68 = x

Therefore, the angle is 68. Hence, the correct option is (d) 68.

The solution in more detail:

Let's assume the angle is represented by the variable 'x'.

The supplement of an angle is the angle that, when added to the given angle, results in a sum of 180 degrees. So, the supplement of angle x can be represented as (180 - x).

The complement of an angle is the angle that, when added to the given angle, results in a sum of 90 degrees. So, the complement of angle x can be represented as (90 - x).

According to the given information, the measure of the supplement of angle x is 46 more than 3 times the complement of angle x. Mathematically, this can be expressed as:

180 - x = 3(90 - x) + 46

Now, let's solve this equation to find the value of x:

180 - x = 270 - 3x + 46

Rearranging and simplifying the equation:

2x = 270 + 46 - 180

2x = 136

Dividing both sides of the equation by 2:

x = 68

Therefore, the angle x is equal to 68 degrees.

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Answer:

8?

Step-by-step explanation:

Answer: AAS

Step-by-step explanation:

Answer:

30°

Step-by-step explanation:

the three interior angles of a triangle add up to 180, so 60° + 90°+ 30° just works. Sorry it's such a bad explanation, but the answer works . I have acellus too and I entered the answer before answering your question.

The exponential function that models the relationship is:

g(x) = 8 * (2.5)^x

To model the relationship described, we can write the exponential function as:

g(x) = a * b^x

Given that the dependent variable is multiplied by 2.5 for every 1 unit increase in the independent variable, we have:

2.5 = b^1

Solving for b, we find that b = 2.5.

Now, we can substitute the value of x = 0 into the equation and solve for a:

8 = a * (2.5)^0

8 = a * 1

a = 8

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Answer:

the measure of angle 8 is 83 degrees

Step-by-step explanation:

Answer:

Hope this helps!!!!!!

Mark Brainlest!!!!!!!!!!

Step-by-step explanation:

Mark and Henry win some money and share it in the ratio 1:3. Mark gets £9. How much did Henry get?

Ratio = 1 : 3

Let Mark's share be 1x = x

and Henry's share be 3x

We know that Mark gets £9

So,

1x = x = £9

Then 3x = £(3 * 9) = £27

HENCE,

Mark's share = £9

Henry's share = £27

Total money = Mark's share + Henry's share = £9 + £27 = £36

Answer:

£27

Step-by-step explanation:

so it shows mark is 1 while Henry is 3

we know that Mark is 1/4 while Henry is 3/4

/4 because the total is 4 so whatever their ratio is over their total

so we do: 1 = 9

3 = ?

and then u cross multiply

3*9 = 27 ÷ 1 = 27

so Henry receives £27

Answer:

12

Step-by-step explanation:

Rescuers must travel approximately 909.25 miles from Island A to Island C.

Rescuers must travel approximately 909.25 miles with a bearing of N71°44'W from Island A to Island C.

We have,

To determine the distance and bearing rescuers must travel from Island A to Island C, we can use the concept of vector addition and trigonometry.

First, let's analyze the boat's journey:

Boat's journey from Island A to Island B:

Distance traveled: 750 miles

Bearing: N68°E

Boat's journey from Island B to Island C:

Distance traveled: 195 miles

Bearing: N22°W

a)

To calculate the distance rescuers must travel from Island A to Island C, we can use the concept of vector addition.

The total displacement from Island A to Island C can be found by adding the individual displacements from Island A to Island B and from Island B to Island C.

Using trigonometry, we can find the northward (vertical) and eastward (horizontal) components of the boat's journey:

For the journey from Island A to Island B:

Northward component: 750 x sin(68°) ≈ 682.83 miles

Eastward component: 750 x cos(68°) ≈ 346.29 miles

For the journey from Island B to Island C:

Northward component: 195 x cos(22°) ≈ 182.43 miles

Westward component: 195 x sin(22°) ≈ 67.57 miles (negative since it is westward)

Adding the respective components:

Total northward displacement = 682.83 + 182.43 ≈ 865.26 miles

Total eastward displacement = 346.29 - 67.57 ≈ 278.72 miles

Using the Pythagorean theorem, we can find the total displacement or straight-line distance from Island A to Island C:

Distance = √((Total northward displacement)² + (Total eastward displacement)²)

≈ √((865.26)² + (278.72)²)

≈ √(749601.22 + 77647.71)

= √827248.93

≈ 909.25 miles

b)

To determine the bearing rescuers must travel from Island A to Island C, we can use trigonometry to find the angle between the total displacement vector and the north direction.

The angle can be found using the arctan of the eastward displacement divided by the northward displacement:

Angle = arctan((Total eastward displacement) / (Total northward displacement))

= arctan(278.72 / 865.26)

≈ 18.56°

Since the bearing is measured from the north direction, the bearing rescuers must travel is:

Bearing = 90° - Angle

= 90° - 18.56°

≈ 71.44°

Therefore,

Rescuers must travel approximately 909.25 miles from Island A to Island C.

Rescuers must travel approximately 909.25 miles with a bearing of N71°44'W from Island A to Island C.

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Given:

The expression is:

\(8x^4-2x\)

To find:

The coefficient and the exponent for each term of the given expression.

Solution:

Coefficients: In the product of s number and a variable, the number is coefficient of the variable.

Exponent: The number in the power is called exponent.

We have,

\(8x^4-2x\)

Here, the terms are \(8x^4,-2x\).

For the term \(8x^4\), the coefficient is 8 and the exponent is 4.

For the term \(-2x\), the coefficient is -2 and the exponent is 1.

Therefore, the coefficients are 8 and -2, and the exponent are 4 and 1.

Solution:

First, we need to find out the amount for one kilogram. Since 100 grams = 30 pesos, and 1000 grams = 1 kilogram, we need to multiply it by 10.

30 x 10 = 300

Now we have the amount for 1 kilogram. Now in order to get the amount for 8 kilograms, we need to multiply it by 8.

300 x 8 = 2400 pesos

Answer:

The answer is 2,400 pesos.

Check:

30 x 10 = 300 So 300 pesos for a kilogram

300 x 8 = 2400 So 2400 pesos for 8 kilograms.

The equation of the transformed function is: \(y = |\frac 14x|\)

The equation of the function (i.e. the graph) is given as:

y = |x|

The function is then stretched horizontally by a factor of 1/4.

So, we have:

\(y = |\frac 14x|\)

Hence, the equation of the transformed function is: \(y = |\frac 14x|\)

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The equation of the transformed function is: y = |1/4x|

A function transformation either "moves" or "resizes" or "reflects" the graph of the parent function. There are mainly three types of function transformation.

Translation

Dilation

Reflection

Given is an equation of the function graph is given as:

y = |x|

We need to find the transformed function, whose graph is shown,

According to the graph we see,

The function is then stretched horizontally by a factor of 1/4.

So, we have:

y = |1/4x|

Hence, the equation of the transformed function is: y = |1/4x|

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Answer:

Introduction:

Binary numbers are used by different departmental stores to keep track of their inventory.

Explanation:

For this the minimum binary numbers should be 8 bits which can represent 256 unique values.

If a store needs to represent its inventory items between 25 to 75, it should use at least 8 bits which can formulate a eight bit number for every item.

Conclusion:

Therefore the correct answer is d. 8

Step-by-step explanation:

Answer:

b.

Step-by-step explanation:

The correct function of the graph is,

⇒( f(x) = (x-a)²(x-b)⁴

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Now, Clearly from the graph of the function we could see that zero is not a root of the polynomial function

Hence, option (a) and (c) are discarded.

Now, we will check for option (b) and option (d)

As the graph touches the x-axis at two point i.e. a and b that means that both the roots of the polynomial equation are of even degree.

Hence, the correct option is:

⇒ f(x) = (x-a)²(x-b)⁴

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Answer:

8cx - 22ac - 15bx + 45ab +18ax - 6bc.

Step-by-step explanation:

(8c-9b)(x-5a)+(3x+3c)(6a-2b)

= 8c (x-5a) -9b(x-5a) + 3x(6a-2b) + 3c(6a-2b)

= 8cx - 40ac -9bx + 45ab + 18ax - 6bx + 18ac - 6bc

Combining like terms:

=  8cx - 22ac - 15bx + 45ab +18ax - 6bc.

Answer:

8cx + 45ab + 18ax - 2bc - 15bx - 22ac

Step-by-step explanation:

The linear equation that passes through these two points is:

y = -4x

A general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we know that the line passes through two known points (x₁, y₁) and (x₂, y₂), then we can write the slope as:

a = (y₂ - y₁)/(x₂ - x₁)

Here we know the two points (-2, 8) and (5, -20), so the slope is:

a = (-20 - 8)/(5 + 2) = -28/7 = -4

So the line is:

y = -4*x + b

To find the value of b, we can replace the values of the point (-2, 8), so we will get:

8 = -4*(-2) + b

Now we can solve this for b.

8 = -4*(-2) + b

8 = 4*2 + b

8 = 8 + b

8 - 8 = b

0 = b

Then the linear equation is:

y = -4*x

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